This lab is an introduction to the concept of approximating any function with a power series using Taylor polynomials. The students will fit polynomials to non-polynomial functions and discover the development of that Taylor polynomial associated with the function. After this activity, students will have a better understanding of Taylor polynomials and why they are generated the way they are generated. Taylor polynomials have always been in at least one free response question on the AP exam and are heavily embedded in the multiple choice portion as well.
Length of time needed: 3 class periods (60 minutes each)
This lesson was written by Lana Golembeski.
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Source: Lana Golembeski